Traité des substitutions et des équations algebriques

Camille Jordan's Traité des substitutions et des équations algébriques (1870) was a pivotal work in algebra. It provided a comprehensive explanation of Évariste Galois's theories on substitution groups, which had previously been difficult to understand. Jordan applied these group theories to algebraic equations and the study of geometric symmetries.12

His treatise is considered the first book on group theory and laid the groundwork for abstract algebra. Jordan's work helped establish Galois theory as a fundamental tool for understanding the connections between field extensions and the Galois groups of equations. This abstract approach became crucial for algebraic developments in the 1920s.1